🎯 About Average Calculator

Our Average Calculator is a comprehensive statistical tool that calculates mean (average), median, mode, and range from your data set. It provides detailed step-by-step solutions showing exactly how each statistic is calculated.

Perfect for students, teachers, data analysts, researchers, and anyone working with numerical data!

📊 Statistical Measures Explained

Mean (Average):

  • The sum of all numbers divided by the count
  • Most commonly used measure of central tendency
  • Example: (5 + 10 + 15) ÷ 3 = 10

Median:

  • The middle value when numbers are sorted
  • If even count, average of two middle numbers
  • Not affected by extreme values (outliers)
  • Example: In [5, 10, 15], median = 10

Mode:

  • The most frequently occurring number
  • Can have multiple modes (bimodal, multimodal)
  • No mode if all numbers appear equally
  • Example: In [5, 10, 10, 15], mode = 10

Range:

  • Difference between maximum and minimum values
  • Shows the spread of data
  • Example: In [5, 10, 15], range = 15 - 5 = 10

📝 How to Use

Method 1: Add One by One

  • Enter a number in the input field
  • Click "Add Number" or press Enter
  • Repeat for all your numbers
  • Click "Calculate Statistics"

Method 2: Enter All at Once

  • Click "Enter All at Once" tab
  • Type or paste numbers separated by commas, spaces, or line breaks
  • Click "Calculate Statistics"

✨ Key Features

  • Multiple Input Methods: Add one by one or all at once
  • 4 Statistical Measures: Mean, median, mode, range
  • Step-by-Step Solutions: See how each calculation works
  • Visual Data Display: See your numbers organized
  • Additional Stats: Min, max, sum, count
  • Decimal Support: Works with whole numbers and decimals
  • Remove Numbers: Edit your data set easily
  • 100% Free: No registration required

📚 Example Calculations

Example 1: Simple Data Set

Numbers: 5, 10, 15, 20, 25

  • Mean: (5+10+15+20+25) ÷ 5 = 75 ÷ 5 = 15
  • Median: Middle value = 15
  • Mode: No mode (all appear once)
  • Range: 25 - 5 = 20

Example 2: Data with Mode

Numbers: 10, 20, 20, 30, 40, 50

  • Mean: 170 ÷ 6 = 28.33
  • Median: (20 + 30) ÷ 2 = 25
  • Mode: 20 (appears twice)
  • Range: 50 - 10 = 40

Example 3: Test Scores

Scores: 85, 90, 78, 92, 88, 85, 95

  • Mean: 613 ÷ 7 = 87.57
  • Median: 88 (middle of sorted list)
  • Mode: 85 (appears twice)
  • Range: 95 - 78 = 17

💡 Common Uses

  • Calculate grade averages and test scores
  • Analyze sales data and business metrics
  • Calculate sports statistics and player averages
  • Determine survey results and ratings
  • Analyze financial data and budgets
  • Calculate average temperatures or measurements
  • Statistical homework and research projects
  • Data analysis and reporting